In: Statistics and Probability
Suppose we examined samples of size n = 50 from the population of Basic Statistics classes that I have taught at AU. Suppose that the sample mean is equal to 6.42 hours, and the population standard deviation is 6.72 hours.
a. Find a 95% confidence interval for the mean number of hours of television watched by this population of Basic Statistics students, using the information described above.
b. Does this confidence interval contain the population mean?
c. Suppose I gather 100 SRS of size 50, and I calculate 100 95% confidence intervals in the usual way. About how many of these would contain the population mean?
d. Find an 80% confidence interval for the mean number of hours of television watched by this population of Basic Statistics students.
e. Would it be good to use an 80% confidence interval? Why?